Step-by-step guide

How to Convert a Fraction to a Decimal

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).

Fraction converter

Fraction to Decimal Calculator

Enter a numerator and denominator to get an exact or clearly labelled decimal result.

Decimal result

0.75

3/4 = 0.75

This decimal terminates, so the result is exact.

Equivalent simplified fraction: 3/4

Try an example:

See the fraction

Each shape is one whole.

0 wholes and 3/4 more

3 out of 4 equal parts

How the conversion works

A fraction is another way to show equal parts of one whole.

Start with the fraction
3/4
Divide the numerator by the denominator
3 ÷ 4
Read the decimal result
0.75

The fraction-to-decimal formula

The formula is simple: decimal = numerator ÷ denominator. The numerator tells you how many parts you have, while the denominator tells you how many equal parts make one whole.

Example 1: Convert 3/4 to a decimal

Identify the numerator: 3.
Identify the denominator: 4.
Divide 3 by 4.
The result is 0.75.

Example 2: Convert 1/2 to a decimal

Divide 1 by 2. The result is 0.5, so 1/2 = 0.5.

Example 3: Convert 7/4 to a decimal

Divide 7 by 4. The result is 1.75. Fractions with a numerator larger than the denominator can produce decimals greater than 1.

What about repeating decimals?

Some fractions produce repeating decimals. For example, 1 ÷ 3 is 0.333... The digits 3 continue indefinitely, so the decimal is often written using an ellipsis.

How do you convert a mixed fraction?

First, multiply the whole-number part by the denominator. Add the numerator to that result, then divide by the denominator. For example, 1 3/4 becomes (1 × 4 + 3) ÷ 4 = 7 ÷ 4 = 1.75.

Frequently Asked Questions

How do you convert a fraction to a decimal?

Divide the numerator by the denominator. For example, 3 divided by 4 equals 0.75.

Can every fraction be written as a terminating decimal?

No. Some fractions produce repeating decimals, such as 1/3 = 0.333... .

What happens if the denominator is zero?

A fraction with a zero denominator is undefined, so it cannot be converted to a valid decimal.

Can I convert an improper fraction?

Yes. Divide its numerator by its denominator just as you would with any other fraction.

How do I convert a mixed number to a decimal?

Convert the fractional part to a decimal, then add it to the whole-number part. Account for the sign when working with negative mixed numbers.